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Department of Mathematics,
Department of Mathematics,
University of California San Diego
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Math 208: Algebraic Geometry
Lingyao Xie
UCSD (l6xie@ucsd.edu)
Extending numerical trivial divisors
Abstract:
Let $X$ be a normal variety with a projective contraction $f:X\to S$. Assume $U$ is an open subset of $S$ and $L_U$ is a Cartier divisor on $X_U:=X\times_S U$ such that $L_U$ is numerical trivial over $U$.
We will discuss about when it is possible and how to extend $L_U$ to a global Cartier divisor $L$ on $X$ such that $L\equiv_f 0$.
October 25, 2024
4:00 PM
APM 7321
Research Areas
Algebraic Geometry****************************
